.
Georges Lemaître was the first to show that this is not a real physical singularity but simply a manifestation of the fact that the static Schwarzschild coordinates cannot be realized with material bodies inside the gravitational radius. Indeed inside the gravitational radius everything falls towards the centre and it is impossible for a physical body to keep a constant radius.
A transformation of the Schwarzschild coordinate system from {t,r} to the new coordinates {τ,ρ},
where
The trajectories ρ constant are timelike geodesics with τ the proper time along these geodesics. They represent the motion of freely falling particles which start out with zero velocity at infinity. At any point their speed is just equal to the escape velocity from that point.
In Lemaître coordinates there is no singularity at the gravitational radius, which instead corresponds to the point
Congratulations to SCGeoNinja For the First To Find! Way to go!